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Finding the Fourth Proportional to 13,616.47, 20,410.18 and 7,760.47

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Solution

The fourth proportional to 13,616.47, 20,410.18 and 7,760.47 is: 11,632.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.47 : 20,410.18 = 7,760.47 : x
  2. Step 2: Convert to fraction form
    13,616.47/20,410.18 = 7,760.47/x
  3. Step 3: Cross multiply
    13,616.47x = 20,410.18 × 7,760.47
  4. Step 4: Simplify right side
    13,616.47x = 158,392,589.58
  5. Step 5: Solve for x
    x = 158,392,589.58/13,616.47
  6. Step 6: Final answer
    x = 11,632.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.